Question: A real number between 0 and l00 is randomly selected according to a uniform distribution and rounded off to the nearest integer. For example, 36.5001

A real number between 0 and l00 is randomly selected according to a uniform and rounded off to the nearest integer. For example, 36.5001 is rounded off to 37; √3 is rounded off to 2; and 69.49 is rounded off to 69. Define a random variable to be X = (number selected)–(nearest integer).
(a) What is the domain of this random variable?
(b) Determine the PDF for X.
(c) Determine the mean square value of X.

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